Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality. - W. B. Liu; John W. Barrett 001 (Adv. Comput. Math., 1993)

Finite element approximation of a fourth order nonlinear degenerate parabolic equation. - John W. Barrett 001; James F. Blowey; Harald Garcke (Numerische Mathematik, 1998)

Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility. - John W. Barrett 001; James F. Blowey (Math. Comput., 1999)

Finite element approximation of a semilinear elliptic problem with a singular nonlinearity. - John W. Barrett 001; Mathias Schneider (Numerische Mathematik, 1999)

Finite Element Approximation of the Cahn-Hilliard Equation with Degenerate Mobility. - John W. Barrett 001; James F. Blowey; Harald Garcke (SIAM J. Numer. Anal., 1999)

An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix. - John W. Barrett 001; James F. Blowey (Numerische Mathematik, 2001)

Finite Element Approximation of a Degenerate Allen-Cahn/Cahn-Hilliard System. - John W. Barrett 001; James F. Blowey (SIAM J. Numer. Anal., 2002)

Finite Element Approximation of Surfactant Spreading on a Thin Film. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (SIAM J. Numer. Anal., 2003)

Finite element approximation of a nonlinear cross-diffusion population model. - John W. Barrett 001; James F. Blowey (Numerische Mathematik, 2004)

Finite element approximation of a sixth order nonlinear degenerate parabolic equation. - John W. Barrett 001; Stephen Langdon; Robert Nürnberg (Numerische Mathematik, 2004)

Finite Element Approximation of a Phase Field Model for Void Electromigration. - John W. Barrett 001; Robert Nürnberg; Vanessa Styles (SIAM J. Numer. Anal., 2004)

Sandpiles and Superconductors: Dual Variational Formulations for Critical-State Problems. - John W. Barrett 001; Leonid Prigozhin (Systems, Control, Modeling and Optimization, 2006)

Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (Math. Comput., 2006)

Finite Element Approximation of Soluble Surfactant Spreading on a Thin Film. - John W. Barrett 001; Robert Nürnberg; Mark R. E. Warner (SIAM J. Numer. Anal., 2006)

A parametric finite element method for fourth order geometric evolution equations. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (J. Comput. Phys., 2007)

Existence of Global Weak Solutions to Some Regularized Kinetic Models for Dilute Polymers. - John W. Barrett 001; Endre Süli (Multiscale Model. Simul., 2007)

A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres. - John W. Barrett 001; Sören Bartels; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2007)

On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (SIAM J. Sci. Comput., 2007)

On the parametric finite element approximation of evolving hypersurfaces in R3. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (J. Comput. Phys., 2008)

A variational formulation of anisotropic geometric evolution equations in higher dimensions. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (Numerische Mathematik, 2008)

On p-Harmonic Map Heat Flows for 1<=p<∞ and Their Finite Element Approximations. - John W. Barrett 001; Xiaobing Feng 001; Andreas Prohl (SIAM J. Math. Anal., 2008)

Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (SIAM J. Sci. Comput., 2008)

On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (J. Comput. Phys., 2010)

Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (Numerische Mathematik, 2012)

Stable finite element approximations of two-phase flow with soluble surfactant. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (J. Comput. Phys., 2015)

A Stable Parametric Finite Element Discretization of Two-Phase Navier-Stokes Flow. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (J. Sci. Comput., 2015)

A stable numerical method for the dynamics of fluidic membranes. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (Numerische Mathematik, 2016)

Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (SIAM J. Numer. Anal., 2016)

Finite element approximation for the dynamics of asymmetric fluidic biomembranes. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (Math. Comput., 2017)

Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve. - John W. Barrett 001; Klaus Deckelnick; Vanessa Styles (SIAM J. Numer. Anal., 2017)

Stable approximations for axisymmetric Willmore flow for closed and open surfaces. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (CoRR, 2019)

A finite element error analysis for axisymmetric mean curvature flow. - John W. Barrett 001; Klaus Deckelnick; Robert Nürnberg (CoRR, 2019)

Finite element methods for fourth order axisymmetric geometric evolution equations. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (J. Comput. Phys., 2019)

Variational discretization of axisymmetric curvature flows. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (Numerische Mathematik, 2019)

Stable Discretizations of Elastic Flow in Riemannian Manifolds. - John W. Barrett 001; Harald Garcke; Robert Nürnberg (SIAM J. Numer. Anal., 2019)

A Practical Phase Field Method for an Elliptic Surface PDE. - John W. Barrett 001; Klaus Deckelnick; Vanessa Styles (CoRR, 2020)